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Strong Limit Theorems for Increments of Random Fields

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Stochastic Geometry, Spatial Statistics and Random Fields

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 2068))

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Abstract

After reconsidering the oscillating behaviour of sums of i.i.d. random variables we study the oscillating behavior for sums over i.i.d. random fields under exact moment conditions. This summarizes several papers published jointly with A. Gut (Uppsala).

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Acknowledgements

This contribution is based on joint work with my colleague Allan Gut (Uppsala) with whom I enjoyed very much to work on this topic, I am very grateful for this partnership.

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  1. Ulm University, Ulm, Germany

    Ulrich Stadtmüller

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  1. Ulrich Stadtmüller
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Correspondence to Ulrich Stadtmüller .

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  1. Helmholtzstr. 18, Ulm, 89069, Germany

    Evgeny Spodarev

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Stadtmüller, U. (2013). Strong Limit Theorems for Increments of Random Fields. In: Spodarev, E. (eds) Stochastic Geometry, Spatial Statistics and Random Fields. Lecture Notes in Mathematics, vol 2068. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-33305-7_11

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